Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 634 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.A square garden has an area of 2601 square m. How long is each side (in m)?
2. 2.Use (a − b)² = a² − 2ab + b² to find 46².
3. 3.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
4. 4.What amount will ₹20000 grow to in 2 years at 5% per year compound interest (in ₹)?
5. 5.If a + b = 7 and ab = 6, what is a² + b²?
6. 6.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
7. 7.Which of these is a perfect cube? (a) 64 (b) 75 (c) 112
8. 8.Solve: 4(m − 3) = 3m + 5. What is m?
9. 9.Write 8.7 × 10⁻¹ as a decimal. =
10. 10.What is 4³? =
11. 11.Which of these is a perfect square? (a) 478 (b) 456 (c) 441
12. 12.Write 3.3 × 10⁻² as a decimal. =
13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
14. 14.What is the value of 9⁴? =
15. 15.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
16. 16.Which of these is a perfect square? (a) 297 (b) 289 (c) 313
17. 17.A square garden has an area of 289 square m. How long is each side (in m)?
18. 18.Use a² − b² = (a + b)(a − b) to find 39² − 3².
19. 19.Use (a + b)(a − b) = a² − b² to find 23 × 17.
20. 20.What is the value of 3¹ × 3⁻³? =
21. 21.Which of these is a perfect square? (a) 331 (b) 324 (c) 360
22. 22.Which of these is a perfect square? (a) 365 (b) 396 (c) 361
23. 23.The sum of three consecutive whole numbers is 156. What is the largest of them?
24. 24.Write 8.1 × 10⁻³ as a decimal. =
25. 25.Write 1.1 × 10⁻¹ as a decimal. =
26. 26.Use a² − b² = (a + b)(a − b) to find 60² − 43².
27. 27.Solve: m/3 + m/5 = 16. What is m?
28. 28.What is the smallest whole number by which 176 must be divided to get a perfect square?
29. 29.Solve: 7p + 1 = 3p + 61. What is p?
30. 30.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
31. 31.Write 1.7 × 10⁻³ as a decimal. =
32. 32.What is the value of (1/8)⁻²? =
33. 33.A scooter is worth ₹30600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
34. 34.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
35. 35.Solve: x/6 + x/3 = 12. What is x?
36. 36.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
37. 37.Use (a + b)² = a² + 2ab + b² to find 75².
38. 38.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 8 cm. What is its area (in square cm)?
39. 39.The diagonals of a rhombus are 24 cm and 28 cm. What is its area (in square cm)?
40. 40.What is 5³? =

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